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55443168 = 25321123743
BaseRepresentation
bin1101001101111…
…1111011100000
310212022210201200
43103133323200
5103143140133
65300201200
71242154614
oct323377340
9125283650
1055443168
1129329300
1216699200
13b642b11
147513344
154d02913
hex34dfee0

55443168 has 216 divisors, whose sum is σ = 182125944. Its totient is φ = 15966720.

The previous prime is 55443151. The next prime is 55443169. The reversal of 55443168 is 86134455.

It is a happy number.

55443168 is a `hidden beast` number, since 55 + 443 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (57600) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55443169) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1289355 + ... + 1289397.

Almost surely, 255443168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55443168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91062972).

55443168 is an abundant number, since it is smaller than the sum of its proper divisors (126682776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55443168 is a wasteful number, since it uses less digits than its factorization.

55443168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 55443168 is about 7446.0169218180. The cubic root of 55443168 is about 381.3139372120.

It can be divided in two parts, 55443 and 168, that added together give a triangular number (55611 = T333).

The spelling of 55443168 in words is "fifty-five million, four hundred forty-three thousand, one hundred sixty-eight".